Add 9/4 and 21/27
1st number: 2 1/4, 2nd number: 21/27
9/4 + 21/27 is 109/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 4 × 27 = 108,
9/4 = 9 × 27/4 × 27 = 243/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
21/27 = 21 × 4/27 × 4 = 84/108 - Add the two like fractions:
243/108 + 84/108 = 243 + 84/108 = 327/108 - 327/108 simplified gives 109/36
- So, 9/4 + 21/27 = 109/36
In mixed form: 31/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/4+21/27 9/4+42/27 9/8+21/27 9/4+21/54 27/4+21/27 9/4+63/27 9/12+21/27 9/4+21/81 45/4+21/27 9/20+21/27 63/4+21/27 9/28+21/27